Truss optimization under stiffness, stability constraints and random loading

Karkauskas, Romanas; Norkus, Arnoldas

doi:10.1016/j.mechrescom.2005.06.002

Cited by 13 publications

(16 citation statements)

References 7 publications

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“…For the case where l 1 -norm was used, it was observed that convergence was achieved for all analysis with x 3 (0) < 500cm as illustrated in Fig.6 for x 3 (0) =200cm. However, the converged shape (with x 3 =500cm) was different from the one obtained in the case where l 2 -norm (with x 3 =1000cm) was used as shown in insets (b) and (c) of Fig.6.…”

Section: Discussionmentioning

confidence: 83%

“…Optimization of truss structures forms one of the main focus of research in structural engineering both in terms of topology, shape and cross-section optimization [3][4][5][6][7][8][9][10][11][12][13][14][15] . The majority of the works deal with proposal of methods of optimization 5,[8][9][10][12][13][14][15] .…”

Section: Introductionmentioning

confidence: 99%

“…The majority of the works deal with proposal of methods of optimization 5,[8][9][10][12][13][14][15] . The more complicated problems of multi-objectives and multiple constraints type of optimization problem are studied in 3,7) . Procedures of analysis for handling discrete design variables or design variables with different nature have also been studied 10,11) .…”

Section: Introductionmentioning

confidence: 99%

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Effects of Vector Norm Types in Maximum Stiffness Problem of Simple Truss Structures

Choong

Loh²,

Kim

et al. 2009

Journal of Asian Architecture and Building Engineering

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The objective of maximum stiffness problem is to minimize the displacement. For this purpose, an optimization analysis is needed in order to obtain the structural shape with maximum stiffness. Displacement for structures with multiple degrees of freedom which has been modeled using finite element method is expressed in the form of a vector. In order to measure the size of vector quantity, a vector norm is used. The use of different types of vector norms might yield different results in maximum stiffness problem with shape as the design variable. This paper studies the effect of types of vector norms used in the outcome of analysis in maximum stiffness problem. Three types of vector norms, namely Euclidean, absolute value and maximum value norms, are studied. The results show that Euclidean norm is the most effective norm to be used.

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Section: Discussionmentioning

confidence: 83%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effects of Vector Norm Types in Maximum Stiffness Problem of Simple Truss Structures

Choong

Loh²,

Kim

et al. 2009

Journal of Asian Architecture and Building Engineering

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“…Specific fuzzy random processes and specific optimization methods applicable to solution of the problem presented here are given, e.g. in (Möller, Reuter 2007;Karkauskas, Norkus 2006).…”

Section: Resultsmentioning

confidence: 99%

Fuzzy Probability Analysis of the Fatigue Resistance of Steel Structural Members Under Bending/Fuzi Tikimybinė Analizė Vertinant Lenkiamų Plieninių Elementų Atsparį Nuovargiui

Kala

2008

Journal of Civil Engineering and Management

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To cite this article: Zdeněk Kala (2008) Abstract. The paper is aimed at the fuzzy probabilistic analysis of fatigue resistance due to uncertainty of input parameters. The fatigue resistance of the steel member is evaluated by linear fracture mechanics as the number of cycles leading to the propagation of initial cracks into a critical crack resulting in brittle fracture. When the histogram of stress range is known, the fatigue resistance is a random variable. In the event that the histogram is unknown or was acquired from a small number of experiments, another source of uncertainty is of an epistemic origin. Two basic approaches, which make provision for uncertainty of input histograms of stress range, are illustrated in the paper. Uncertainty of histograms of stress range is taken into account by the variability of equivalent stress range in the first stochastic approach. Input histograms as considered as members of a fuzzy set in the second approach.

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“…Pastaruosius tris dešimtmečius gana intensyviai buvo plėtojama konstrukcijų optimizacijos teorija, metodai ir skaičiavimo algoritmai bei jų integracija su šiuolaikinėmis kompiuterinio modeliavimo ir automatizuoto projektavimo sistemomis (Atkočiūnas et al 2008;Chen et al 1999;Čyras et al 2004;Čyras 1983;Hayalioglu 2000;Kalanta 1997;Karkauskas 1997Karkauskas , 2004Karkauskas , 2007Karkauskas, Norkus 2006;Manickarajah et al 2000;Merkevičiūtė, Atkočiūnas 2003;Levy, Lev 1987;Marlet, Arora 2004;Norkus, Karkauskas 2005). Pažymėtina, kad einamuoju metu pasiro-dė darbų, kuriuose taikomi genetiniai algoritmai, pagrįsti biologinių principų įdiegimu į konstrukcijų optimizacijos problemų realizacijos kompiuterines technologijas (Hayalioglu 2000;Rajan, Nguyen 2004;Sarma, Adeli 2000).…”

Section: įVadasunclassified

Netamprių Geometriškai Netiesinių Plieninių Rėminių Konstrukcijų Skerspjūvių Optimizavimo Algoritmas

Karkauskas

Popov

2009

Statybinės Konstrukcijos ir Technologijos

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Santrauka.Straipsnyje pateikiamas patobulintas plieninių rėmų kaip geometriškai netiesinių sistemų strypų skerspjūvių optimizacijos uždavinio matematinis modelis ir skaičiavimo algoritmas, įvertinantis medžiagos netampriąsias savybes bei eksploatacinius reikalavimus. Disipacinių savybių įvertinimas, naudojant netampriąsias plieno deformacijas, lemia reikšmingą laikomosios galios rezervo sumažinimą optimalios tamprios būklės konstrukcijos atžvilgiu. Eksploataciniai reikalavimai, keliami konstrukcijai jos naudojimo laikotarpiu, apima ne tik stiprumo, bet ir deformatyvumo, stabilumo ir konstrukcinius apribojimus. Jie apibrėžia minimalius skerspjūvių parametrus ir elementų ribinius liaunius. Visa tai riboja laisvą plastinių deformacijų plitimą, todėl optimali konstrukcija yra neyramoji tamprioji plastinė. Naudojami tampraus atsako dydžiai susieti netiesiniu funkciniu ryšiu su standartinių profi lių skerspjūvių optimizuojamais parametrais, todėl uždavinys sprendžiamas iteracijų būdu. Pateikta nauja rėminio strypinio elemento tangentinės standumo matricos sudarymo metodika. Atliktas 16 aukštų rėmo iš standartinių profi liuočių skerspjūvių optimizacijos uždavinio skaitinis eksperimentas.Reikšminiai žodžiai: optimizacija, tamprioji plastinė konstrukcija, geometrinis netiesiškumas, tangentinė standumo matrica, geometrinis standumas, plastiškoji irtis.

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Truss optimization under stiffness, stability constraints and random loading

Cited by 13 publications

References 7 publications

Effects of Vector Norm Types in Maximum Stiffness Problem of Simple Truss Structures

Effects of Vector Norm Types in Maximum Stiffness Problem of Simple Truss Structures

Fuzzy Probability Analysis of the Fatigue Resistance of Steel Structural Members Under Bending/Fuzi Tikimybinė Analizė Vertinant Lenkiamų Plieninių Elementų Atsparį Nuovargiui

Netamprių Geometriškai Netiesinių Plieninių Rėminių Konstrukcijų Skerspjūvių Optimizavimo Algoritmas

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